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Finding the Fourth Proportional to 7,438.82, 11,175.66 and 7,018.52

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Solution

The fourth proportional to 7,438.82, 11,175.66 and 7,018.52 is: 10,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438.82 : 11,175.66 = 7,018.52 : x
  2. Step 2: Convert to fraction form
    7,438.82/11,175.66 = 7,018.52/x
  3. Step 3: Cross multiply
    7,438.82x = 11,175.66 × 7,018.52
  4. Step 4: Simplify right side
    7,438.82x = 78,436,593.22
  5. Step 5: Solve for x
    x = 78,436,593.22/7,438.82
  6. Step 6: Final answer
    x = 10,544.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.